#1. Prove that the following two statements are not logically equivalent. In your proof, completely justify your answer. (a) A real number is less than 1 only if its reciprocal is greater than 1. (b)...


#1.<br>Prove that the following two statements are not logically equivalent. In your<br>proof, completely justify your answer.<br>(a) A real number is less than 1 only if its reciprocal is greater than 1.<br>(b) Having a reciprocal greater than 1 is a sufficient condition for a real<br>number to be less than 1.<br>

Extracted text: #1. Prove that the following two statements are not logically equivalent. In your proof, completely justify your answer. (a) A real number is less than 1 only if its reciprocal is greater than 1. (b) Having a reciprocal greater than 1 is a sufficient condition for a real number to be less than 1.

Jun 03, 2022
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